1042121311 has 16 divisors (see below), whose sum is σ = 1315722240. Its totient is φ = 801758880.

The previous prime is 1042121287. The next prime is 1042121323. The reversal of 1042121311 is 1131212401.

It is a cyclic number.

It is not a de Polignac number, because 1042121311 - 2⁷ = 1042121183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79576 + ... + 91741.

It is an arithmetic number, because the mean of its divisors is an integer number (82232640).

Almost surely, 2^1042121311 is an apocalyptic number.

1042121311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1042121311 is a deficient number, since it is larger than the sum of its proper divisors (273600929).

1042121311 is a wasteful number, since it uses less digits than its factorization.

1042121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171414.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1042121311 is about 32281.9037697593. The cubic root of 1042121311 is about 1013.8477905404.

Adding to 1042121311 its reverse (1131212401), we get a palindrome (2173333712).

The spelling of 1042121311 in words is "one billion, forty-two million, one hundred twenty-one thousand, three hundred eleven".